"I've heard Jersey City. I've heard Patterson. It was 14 years ago. But I saw it on television. I saw clips. And so did many other people. And many people saw it in person. I've had hundreds of phone calls to the Trump Organization saying, 'We saw it. It was dancing in the streets,'" he said. "And, so, why would I take it back? I'm not going to take it back."

Republican presidential candidate Donald Trump stuck by his claims that he witnessed Muslims celebrating on Sept. 11, 2001 in New Jersey in an interview on Sunday. (Ty Wright/Getty Images)

Trump claims that is was logical that Muslims in N.J. would be celebrating after the towers were hit on Sept. 11 because of Jersey’s heavy Muslim population. (DANIEL HULSHIZER/AP)

"You have a huge Muslim population, between Patterson and different places and Jersey City, an unbelievable large population. If they're going to be doing it at soccer games, if they're going to be doing it all around the world, it was being done," Trump said. "When the Trade Center came down, it was done all around the world. And you know that because that has been reported very strongly. Why wouldn't it have taken place?"

Trump also claimed Obama intends to let at least 200,000 Syrian refugees into the United States — though the President said he plans on 10,000.

"We can't have it," Trump said. "We don't know who these people are. They're undocumented totally. And by the way, even if it's 10,000, we can't have it."